Thread: Vectors in 3D

Please find the question attached.
I started solving this by taking the first point as x1,y1,z1 and second one as x2,y2,z2
and so the distance between these points to B is *sqrt*14.
Although this method doesn't seem to be working. Any help/hint on how to proceed with this question will be much appreciated.

You need to find where the y-axis insects the sphere
Recall that the y-axis is

So i put y=t? and x=0 and z=0?

Originally Posted by kandyfloss

So i put y=t? and x=0 and z=0?

Indeed, yes. Solve for t.

Originally Posted by Plato

Indeed, yes. Solve for t.

So i get t(^2) + 2t -13=0
And it seems my values for t are going to be in fraction, and the answer is in whole numbers.

Originally Posted by kandyfloss

So i get t(^2) + 2t -13=0

I get

Originally Posted by Plato

I get

oh yes, sorry. I'm kind of out of my mind today. Thanks a lot!